IXL | Evaluate numerical expressions involving mixed numbers | 6th grade math

or

Evaluate the expression.

3

5

–

4

÷

1

3

Write your answer as a fraction or as a whole or mixed number.

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or

Learn with an example

question

Evaluate the expression.

3

+

1

5

÷

4

Write your answer as a fraction or as a whole or mixed number.

key idea

To evaluate an expression with multiple operations, you can follow the order of

operations:

Perform operations inside parentheses.
Evaluate exponents.
Multiply and divide from left to right.
Add and subtract from left to right.

It can be helpful to write mixed numbers as improper fractions when evaluating expressions.

solution

First, identify the operations in the expression.

3

+

1

5

÷

4

This expression has addition and division. The order of operations says to divide before adding.

3

+

1

5

÷

4

=

Write the mixed number as an improper fraction

3

+

21

5

÷

4

Write the mixed number as an improper fraction

=

To divide, multiply by the reciprocal

3

+

21

5

×

1

4

To divide, multiply by the reciprocal

=

3

+

21

20

Now, add.

3

+

21

20

=

To add, write the integer as a fraction

3

1

+

21

20

To add, write the integer as a fraction

=

Find a common denominator

60

20

+

21

20

Find a common denominator

=

81

20

=

Write the answer as a mixed number

1

20

Write the answer as a mixed number

The value of the expression is

1

20

.

Looking for more? Try these:

Lesson: Order of operations

or

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Multiply mixed numbers

Divide fractions and mixed numbers

K.6Add and subtract mixed numbers

Evaluate numerical expressions involving fractions

Lesson: Order of operations